{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,16]],"date-time":"2026-06-16T17:26:24Z","timestamp":1781630784732,"version":"3.54.5"},"reference-count":52,"publisher":"MDPI AG","issue":"6","license":[{"start":{"date-parts":[[2020,6,12]],"date-time":"2020-06-12T00:00:00Z","timestamp":1591920000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/100012844","name":"Huzhou University","doi-asserted-by":"publisher","award":["61673169, 11301127, 11701176, 11626101, 11601485"],"award-info":[{"award-number":["61673169, 11301127, 11701176, 11626101, 11601485"]}],"id":[{"id":"10.13039\/100012844","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>New soliton solutions of fractional Jaulent-Miodek (JM) system are presented via symmetry analysis and fractional logistic function methods. Fractional Lie symmetry analysis is unified with symmetry analysis method. Conservation laws of the system are used to obtain new conserved vectors. Numerical simulations of the JM equations and efficiency of the methods are presented. These solutions might be imperative and significant for the explanation of some practical physical phenomena. The results show that present methods are powerful, competitive, reliable, and easy to implement for the nonlinear fractional differential equations.<\/jats:p>","DOI":"10.3390\/sym12061001","type":"journal-article","created":{"date-parts":[[2020,6,16]],"date-time":"2020-06-16T00:50:49Z","timestamp":1592268649000},"page":"1001","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":63,"title":["New Soliton Solutions of Fractional Jaulent-Miodek System with Symmetry Analysis"],"prefix":"10.3390","volume":"12","author":[{"given":"Subhadarshan","family":"Sahoo","sequence":"first","affiliation":[{"name":"Department of Mathematics, Kalinga Institute of Industrial Technology, Bhubaneswar-751024, India"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Santanu","family":"Saha Ray","sequence":"additional","affiliation":[{"name":"Department of Mathematics, National Institute of Technology, Rourkela-769008, India"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Mohamed Aly Mohamed","family":"Abdou","sequence":"additional","affiliation":[{"name":"Department of Physics, College of Sciences, University of Bisha, P.O. Box 344, Bisha 61922, Saudi Arabia"},{"name":"Department of Physics, Theoretical Research Group, Science Faculty, Mansoura University, Mansoura 35516, Egypt"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4996-8373","authenticated-orcid":false,"given":"Mustafa","family":"Inc","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Science Faculty, Firat University, Elazig 23119, Turkey"},{"name":"Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 411, Taiwan"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0944-2134","authenticated-orcid":false,"given":"Yu-Ming","family":"Chu","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Huzhou University, Huzhou 313000, China"},{"name":"Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha University of Science &amp; Technology, Changsha 410114, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2020,6,12]]},"reference":[{"key":"ref_1","unstructured":"Podlubny, I. 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